441360000 has 240 divisors, whose sum is σ = 1589655210. Its totient is φ = 117504000.

The previous prime is 441359983. The next prime is 441360043. The reversal of 441360000 is 63144.

It can be written as a sum of positive squares in 5 ways, for example, as 28132416 + 413227584 = 5304^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719694 + ... + 720306.

Almost surely, 2^441360000 is an apocalyptic number.

441360000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794827605).

441360000 is an abundant number, since it is smaller than the sum of its proper divisors (1148295210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441360000 is an equidigital number, since it uses as much as digits as its factorization.

441360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 441360000 is about 21008.5696800139. The cubic root of 441360000 is about 761.3733248394.

It can be divided in two parts, 441 and 360000, that multiplied together give a square (158760000 = 12600²).

The spelling of 441360000 in words is "four hundred forty-one million, three hundred sixty thousand".